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3398985 = 32575533
BaseRepresentation
bin1100111101110101001001
320101200112100
430331311021
51332231420
6200504013
740614402
oct14756511
96350470
103398985
111a11787
12117b009
13920145
146469a9
15472190
hex33dd49

3398985 has 12 divisors (see below), whose sum is σ = 5891652. Its totient is φ = 1812768.

The previous prime is 3398971. The next prime is 3398987. The reversal of 3398985 is 5898933.

It can be written as a sum of positive squares in 2 ways, for example, as 1750329 + 1648656 = 1323^2 + 1284^2 .

It is not a de Polignac number, because 3398985 - 211 = 3396937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 75533 = 3398985 / (3 + 3 + 9 + 8 + 9 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 3398985.

It is not an unprimeable number, because it can be changed into a prime (3398987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37722 + ... + 37811.

It is an arithmetic number, because the mean of its divisors is an integer number (490971).

Almost surely, 23398985 is an apocalyptic number.

It is an amenable number.

3398985 is a deficient number, since it is larger than the sum of its proper divisors (2492667).

3398985 is a wasteful number, since it uses less digits than its factorization.

3398985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75544 (or 75541 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 3398985 is about 1843.6336403961. The cubic root of 3398985 is about 150.3544948958.

The spelling of 3398985 in words is "three million, three hundred ninety-eight thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 75533 226599 377665 679797 1132995 3398985